Question

On a coordinate plane, rhombus W X Y Z has points (negative 3, 1), (1, 4), (5, 1), and (1, negative 2).
Rhombus WXYZ is graphed on a coordinate plane.

What is the perimeter of the rhombus?

16 units
20 units
24 units
28 units

Answer 1

Find the side length using the distance formula. Consecutive vertices (in order) are (-3, 1), (1, 4), (5, 1), (1, -2).
Distance between (-3,1) and (1,4): sqrt((1 - (-3))^2 + (4 - 1)^2) = sqrt(4^2 + 3^2) = 5.
Each side is 5, so perimeter = 4 × 5 = 20 units.

Answer: 20 units.